A MORE ACCURATE HALF-DISCRETE HILBERT-TYPE INEQUALITY INVOLVING ONE HIGHER-ORDER DERIVATIVE FUNCTION

被引：1

作者：

Zhong, Jianhua ^{[1
]}

Yang, Bicheng ^{[1
]}

Chen, Qiang ^{[2
]}

机构：

[1] Guangdong Univ Educ, Sch Math, Guangzhou 51003, Guangdong, Peoples R China

[2] Guangdong Univ Educ, Sch Comp Sci, Guangzhou 51003, Guangdong, Peoples R China

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2022年 / 12卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Weight function; Hermite-Hadamards inequality; half-discrete Hilbert-type inequality; higher-order derivative function; parameter; best possible constant factor; KERNEL;

D O I：

10.11948/20210223

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By means of the weight functions, Hermite-Hadamards inequality and the techniques of real analysis, a new more accurate half-discrete Hilbert-type inequality involving one higher-order derivative function is given. The equivalent conditions of the best possible constant factor related to a few parameters, the equivalent forms, several particular inequalities and the operator expressions are considered.

引用

页码：378 / 391

页数：14

共 50 条

[21] A NEW MULTIPLE HALF-DISCRETE HILBERT-TYPE INEQUALITY
He, Bing
Yang, Bicheng
MATHEMATICAL INEQUALITIES & APPLICATIONS, 2014, 17 (04): : 1471 - 1485
[22] ON A BEST EXTENSION OF A HALF-DISCRETE HILBERT-TYPE INEQUALITY
Yang, Bicheng
JORDAN JOURNAL OF MATHEMATICS AND STATISTICS, 2012, 5 (04): : 267 - 281
[23] A more accurate half-discrete Hardy-Hilbert-type inequality with the logarithmic function
Wang, Aizhen
Yang, Bicheng
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2017,
[24] On a more accurate half-discrete Hilbert's inequality
Huang, Qiliang
Yang, Bicheng
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2012,
[25] A more accurate half-discrete Hardy-Hilbert-type inequality with the logarithmic function
Aizhen Wang
Bicheng Yang
Journal of Inequalities and Applications, 2017
[26] On a more accurate half-discrete Hilbert's inequality
Qiliang Huang
Bicheng Yang
Journal of Inequalities and Applications, 2012
[27] On a half-discrete Hilbert-type inequality similar to Mulholland's inequality
Huang, Zhenxiao
Yang, Bicheng
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
[28] On a half-discrete Hilbert-type inequality similar to Mulholland’s inequality
Zhenxiao Huang
Bicheng Yang
Journal of Inequalities and Applications, 2013
[29] On a multidimensional half-discrete Hilbert-type inequality related to the hyperbolic cotangent function
Rassias, M.T. (michail.rassias@math.ethz.ch), 1600, Elsevier Inc. (242):
[30] A Half-Discrete Hilbert-Type Inequality in the Whole Plane with Multiparameters
Ma, Qunwei
Yang, Bicheng
He, Leping
JOURNAL OF FUNCTION SPACES, 2016, 2016

← 1 2 3 4 5 →